{3,6}_(0,4)

Statistics

genus c	1, orientable
Schläfli formula c	{3,6}
V / F / E c	12 / 24 / 36
notes
vertex, face multiplicity c	1, 1
Petrie polygons holes 2nd-order Petrie polygons 3rd-order holes	6, each with 12 edges 12, each with 6 edges 18, each with 4 edges 12, each with 6 edges
antipodal sets	12 of ( v, h2 )
rotational symmetry group	A4×D6, with 72 elements
full symmetry group	144 elements.
C&D number c	R1.t0-4
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is {6,3}_(0,4).

Its Petrie dual is N20.3′.

It is a 3-fold cover of {3,6}_(2,2).

It can be 2-split to give R13.9′.
It can be 4-split to give R37.29′.
It can be 5-split to give R49.51′.
It can be 7-split to give R73.59′.
It can be 8-split to give R85.32′.

It can be rectified to give rectification of {6,3}_(0,4).

It can be truncated to give {6,3}_(6,6).

List of regular maps in orientable genus 1.

Other Regular Maps

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The image on this page is copyright © 2010 N. Wedd